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A molecular field theory of biaxial nematics formed by molecules with C2hpoint group symmetry has been developed by Luckhurst et al. and a Monte Carlocomputer simulation study of this model has been performed by Hashim et al.. Inthese studies the truncated model pair potential was only applied to moleculeswhose long axes are taken to be along their C2 rotation axes. The present studyextends this work by assuming that the molecular long axis is now perpendicularto the C2 axis, resulting in there being two possible choices of minor axes. Itconsiders the phases formed by both cases. The molecular field theory for thesemodels is formulated and reported here. The theoretical treatment of thepresent cases gives rise to a new set of order parameters. So as to simplifythe pseudo-potentials only the dominant second rank order parameters areconsidered and evaluated to give the phase behaviour of these truncated models.The predicted phase behaviour is compared with the results from the molecularfield study of the previous model potential.

Biaxial nematics with C2h symmetry composed of calamitic particles. A molecular field theory